Equations of magnetohydrodynamic boundary layer with an injection of a dilatable medium

Methods of boundary layer theory are efficient when studying problems of fluid dynamics of multicomponent media with pronounced boundaries between different components. For example, such problems arise when placing screens isolating the main flow of a medium from the surface past which the medium flows, when investigating the mixing layer on the boundary of a submerged jet, when considering thin layers of plasma generated on the surface of a body entering dense layers of the atmosphere at a high velocity, and so on. All such problems are characterized by the presence of an internal boundary on which the rheological and electromagnetic properties of the continuous medium can change. This leads to various diffraction problems for systems of quasilinear partial differential equations. In the present paper, we consider one such problem.